Haas dispatched big-serving American Sam Querrey 6-4 7-5 while Blake completed his 200th career match victory with a 6-1 6-3 demolition of compatriot Scoville Jenkins.
Second seed David Nalbandian of Argentina will play Kristian Piess of Denmark in the first round of the Chennai Open.
Indian qualifier Somdev Devvarman stretched his dream run to the semi-finals of the US $ 50,000 ATP Challenger tournament in Lexington after outplaying Italian Andrea Stoppini in straight sets. Somdev, who is in red-hot form, overwhelmed his Italian opponent 7-6 (5), 6-1 in the quarter-finals of the hard court event.
Leander Paes and his Czech Republic partner Martin Damm will take on the Czech duo Petr Pala and Robin Vik in the first round.
India's Leander Paes and Mahesh Bhupathi won their respective doubles matches to set up a quarter-final clash at the Miami Masters.
The fourth seeds scored a 3-6, 6-3, 10-5 win over Czechs Tomas Berdych and Lukas Dlouhy in the first round of the Miami Masters.
The third seeded pair lost their semi-final match against unseeded Belgian pair of Xavier Malisse and Oliver Rochus.
Thomas Johansson rattled off a whirlwind 6-2, 6-1 win over Stefan Koubek in the first round of the Barcelona Open
The world number two believes he is ready to claim his maiden Australian Open crown.
Agassi, who has not seen action since a third-round loss to Rafael Nadal at Wimbledon, is seeking a fifth title in Los Angeles.
Roddick will be hoping to win his first trophy since Lyon last October. He holds a 6-1 record over Blake, his poker-playing partner.
The third seeded pair registered a comfortable 6-3, 6-4 win against Karsten Braasch of Germany and Sargis Sargsian of Armenia.
Andy Roddick eased into the second round of the Australian Open on Monday before declaring that one of his aims for 2009 was to put himself back into the small group of elite men who are always vying for top honours.
Joachim Johansson and Thomas Enqvist both won second-round matches in the Australian men's hardcourt championship.
The 33-year-old's win over Xavier Malisse in the Stella Artois Championships vaulted him to the top.
The women's top seed won at love against Barbara Schett while Agassi beat Xavier Malisse at the French Open.
The top seed powered into the semi-finals of the Los Angeles Open with a 6-2, 4-6, 6-4 win over Paradorn Srichaphan.
The top seed will face Kenneth Carlsen in the semi-finals after the unseeded Dane beat American Jan-Michael Gambill at the Kroger St Jude ATP event.